Answer:
what is
Step-by-step explanation:
The sample proportion of the teenagers 13 to 17 years of age who use social media is 0.236.
What is a Sample Proportion?Sample proportion is defined as the proportion of something from a given sample which has a particular characteristic.
The formula to calculate the sample proportion is,
p = Number of successes in a particular sample / Sample size
Given that,
a random sample of n = 330 teenagers 13 to 17 years of age was asked if they use social media.
Sample size = 330
Of those surveyed, 252 stated that they do use social media.
We have to find the proportion of teenagers 13 to 17 years of age who use social media.
Number of failures = 252
Number of successes = 330 - 252 = 78
Sample proportion = 78 / 330 = 0.236
Hence the sample proportion is 0.236.
Learn more about Sample Proportion here :
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Simi bought a study table for $9000.She sold it at a profit of 20%.How much profit did she make ? What is the selling price?
Answer:
10,800
Step-by-step explanation:
9,000+ 20%= 10,800
Katie played 5 consecutive games of soccer without being taken off the field. Then, after a single game on the sidelines, she played another 7 consecutive games. What is the percent of increase in the number of consecutive games she played?
The temperature drops from 7°F to -17°F. By how much did the temperature decrease?
Answer:
24 degrees
Step-by-step explanation:
If you use 0 as kind of a benchmark it is really useful, frist you subtract 7, because it is our positive number., then you subtract 17 from 0, making -17.
7+17=24
A donor gives $100,000 to a university, and specifies that it is to be used to give annual scholarships for the next 20 years. If the university can earn 4% interest, how much can they give in scholarships each year?
9514 1404 393
Answer:
$7,358
Step-by-step explanation:
Assuming the interest is compounded annually, the amortization formula is useful here.
A = Pr/(1 -(1+r)^-t)
A is the annual scholarship, P is the principal invested at rate r for t years.
A = $100,000(0.04)/(1 -1.04^-20) = $7,358.18
The university could give $7,358 in scholarships each year.
Answer the question in the picture please!!
Answer:
Step-by-step explanation:
take the 142 degree angle and subtract it from 180 to find value of angle n, you will get 38. then you add 38 and 90 together to get 128. Since all angles of a triangle add up to 180. You subtract 128 from 180 to get 52.
Angle M = 52
Angle L = 90
Angle N = 38
Angle LNM = 180
a leaky faucet is losing water and it is filling a 5 gallon bucket every 12 hours. At the rate, how many gallons of water will the faucet leak 48 hours
Answer:
20 gallons
Step-by-step explanation:
First start off by dividing 48 by 12 to see how many times 12 goes into 48.
48 / 12 = 4
now that you know that 12 goes into 48 4 times, multiply 4 by 5 to see how many gallons the leaky faucet will fill in 48 hours.
4 x 5 = 20
therefore the answer is 20 gallons
I hope this helps ^^
Which relation is a function?
The price of a technology stock was $9.66 yesterday. Today, the price fell to $9.55. Find the percentage decrease.
simplify
y = -1x - 1
pls hurryyyyyyy
15 POINTS
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
A. 10 : 45
B. 30 : 54
C. 6 : 10
D. 27 : 15
explanation if you know how to explain
Answer:
The answer is B
Step-by-step explanation:
The problem is asking for the same ratio as 5:9
Multiply both sides by 6 to get 30:54
Consider the feasible region in the xy-plane defined by the following linear inequalities.
x≥0
y ≥0
x ≤ 10
x +y≥ 5
x + 2y ≤ 18
Part 2 Exercises:
1. Find the coordinates of the vertices of the feasible region. Clearly show how each vertex is determined and which lines form the vertex.
2. What is the maximum and the minimum value of the function Q = 60x+78y on the feasible region?
Answer:
1. (0,5), (0,9), (10,4), (10,0), (5,0)
2. [tex]Q_{max}=912[/tex]
[tex]Q_{min}=300[/tex]
Step-by-step explanation:
1.
In order to determine the coordinates of the vertices of the feasible region, we must first graph each of the inequalities. The feasible region is the region where all the inequalities cross each other. In this case it's the region shaded on the attached picture.
The first point is the intercept between the equations x=0 and x+y=5 so in order to find this first coordinate we need to substitute x=0 and solve for y.
0+y=5
y=5
(0,5)
The next point is the intercept between the equations x=0 and x+2y=18, so again, we substitute x for zero and solve for y:
0+2y=18
[tex]y=\frac{18}{2}[/tex]
y=9
(0,9)
The next coordinate is the intercept between the lines x=10 and x+2y=18, so we substitute x for 10 and solve for y:
10+2y=18
2y=18-10
2y=8
[tex]y=\frac{8}{2}[/tex]
y=4, so the oint is
(10,4)
The next point is the intercept between the lines x=10 and y=0, so the point is:
(10,0)
The final point is the intercept between the equations: y=0 and x+y=5. We substitute y for zero and solve for x:
x+0=5
x=5
so the point is:
(5,0).
2. In order to determine the maximum and minimum value of the function Q=60x+78y on the feasible region, we must evaluate it for each of the points found on part 1.
(0,5)
Q=60(0)+78(5)
Q=390
(0,9)
Q=60(0)+78(9)
Q=702
(10,4)
Q=60(10)+78(4)
Q=912
(10,0)
Q=60(10)+78(0)
Q=600
(5,0)
Q=60(5)+78(0)
Q=300
So now we compare the answers and pick the minimum and maximum results.
We get that:
[tex]Q_{max}=912[/tex]
when x=10 and y=4
and
[tex]Q_{min}=300[/tex]
When x=5 and y=0
The feasible region is the possible set of a constraint
The vertices are: [tex]\mathbf{(x,y) \to (0,5), (0,9), (5,0)}[/tex]The maximum and the minimum values are 702 and 300, respectively.(a) The coordinates of the vertices at the feasible region
The constraints are given as:
[tex]\mathbf{x \ge 0}[/tex]
[tex]\mathbf{y \ge 0}[/tex]
[tex]\mathbf{x \le 0}[/tex]
[tex]\mathbf{x + y\ge 5}[/tex]
[tex]\mathbf{x + 2y\ge 18}[/tex]
See attachment for the graph of the constraints
From the graph, the vertices are:
[tex]\mathbf{(x,y) \to (0,5), (0,9), (5,0)}[/tex]
(b) The minimum and the maximum values of objective function Q
The objective function is:
[tex]\mathbf{Q=60x +78y}[/tex]
Substitute [tex]\mathbf{(x,y) \to (0,5), (0,9), (5,0)}[/tex] in Q
[tex]\mathbf{Q=60(0) +78(5) = 390}[/tex]
[tex]\mathbf{Q=60(0) +78(9) = 702}[/tex]
[tex]\mathbf{Q=60(5) +78(0) = 300}[/tex]
Hence, the maximum and the minimum values are 702 and 300, respectively.
Read more about feasible regions at:
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Sara invested $1,500 in a bond at a simple at a simple interest rate of 3%
Answer: N/A
Step-by-step explanation:
We need more info
The local gym is charging a flat fee of $10 per month to be a member. Each time you go to the gym you are charged $3. What equation would represent
how much you paying total for the month if x is equal to the number of times you go to the gym?
help please I’m struggling badly because Im sooo bad at math
Answer:
40˚ degrees
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Apples cost $0.75 per pound and bananas cost $1.05 per pound.
A baker bought a total of 12 pounds of apples and bananas for $10.20.
The system of equations {a+b=120.75a+1.05b=10.20 models this situation, where a is the number of pounds of apples, and b is the number of pounds of bananas.
How many pounds of each did the baker buy?
Not quite sure about the answer but it seems simple. Please answer!
Answer:
Its A
Step-by-step explanation:
Can someone please answer this, I need help?
A new truck costing $60,000 with a residual value of $6,000
write an equation for the line that passes through (4,10) and is perpendicular to the line 6x-3y=5
Answer:
[tex]y = - \frac{ 5}{3} x + ( - \frac{5}{3} )[/tex]
Step-by-step explanation:
-3y=5-6x
y=5-6x÷(-3)
y=(-5/3)+2x
y=2x-(5/3)
At y-intercept x is 0 and y is -(5/3)
Gradient m=10-(-5/3)÷(4-0)
=35/12
y=mx+c
10=(35/12)4+c
c=-(5/3)
Answer:
y = [tex]-\frac{1}{2}[/tex]x + 12
Step-by-step explanation:
Given expressions:
Coordinates = (4,10)
Equation of the line; 6x - 3y = 5
Unknown:
Equation of the line perpendicular = ?
Solution:
A line perpendicular to the given one will have a negative inverse slope.
Equation of any given line is expressed as:
y = mx + c
y and x are the coordinates
m is the slope
c is the intercept
Now; re-write 6x-3y = 5 in the form y= mx + c and find the slope;
6x - 3y = 5
-3y = 5- 6x
y = [tex]-\frac{5}{3}[/tex] + 2x
The slope of a perpendicular line will be [tex]-\frac{1}{2}[/tex]
Also, let us find the y-intercept, c;
y = mx + c
10 = [tex]-\frac{1}{2}[/tex] x 4 + c
10 = -2 + c
c = 12
The equation of the new line is ;
y = [tex]-\frac{1}{2}[/tex]x + 12
Determine the solution set of (3x - 5)2 = 36.
{-1/3, 11/3}
{11/3}
{-6, 6}
Answer:
[tex]the \: solution \: set \:is \to \{{-6, 6} \}[/tex]
I need help I don’t know this help
help please : (
convert 10.0 cm into in
Answer:
3.93700787 Inch
Step-by-step explanation:
:)
Answer:
3.93701
Step-by-step explanation:
In order to convert cm into inches you divide the cm by 2.54.
What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?
Answer:
0.075
Step-by-step explanation:
These reverse processes are both part of
Answer:
you forgot the picture
Step-by-step explanation:
Please put a picture
equation of the line with slope 1/2 that passes through the point
(-6, 1).
O 1
y = 2x - 4
v
О
1
y=2x-
-5
W
o
y = 2x + 5
-x
О 1
y = 2*+4
Step-by-step explanation:
let eqn be y = 1/2x + b
sub (-6, 1):
1 = 1/2(-6) + b
b = 4
therefore, eqn is y = 1/2x + 4
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
22. Find the slope and Y intercept of the line 3x+4y-9=0
hi there! here's my answer for you...
Answer:
slope:
m = -3/4
y-intercept:
y = −3x/4 + 9/4
hope this helped. have a good one!
Danny bought 8 rolls of paper towels. He has 204.8 meters of paper towels in all. How many meters of paper towels are on each roll? A) 21.52 B) 25.12 C) 25.60 D) 26.52
Answer:C) 25.60
Step-by-step explanation:204.8÷8=25.60
Answer:
:C) 25.60
Step-by-step explanation:
Aicha has 36 dress. She completes 1/2 of the dresses in 3/4 of an hour.If she continues at this rate what fraction of the dresses will she complete in one hour?
Answer:
2/3
Step-by-step explanation:
1/2 dresses = 36x1/2 = 18
18 dresses in 3/4 hr. ==> 1/4hr ==> 18/3 = 6
1hr ==> 6x4 = 24
fraction = 24/36 = 2/3
Let sets A and B be defined as follows.
A is the set of integers greater than - 7 and less than - 3
B={c, h, j, k, v, y}
(a) Find the cardinalities of A and B.
n(A) = ? n(B)= ?
(b) Select true or false.
True
False
-6E A
-14 EA
k E B
Q E B
The E is the signal used not the actual letter E
Answer:
n(A) = 3
n(B) = 6
-6 ∈ A => True
-14 ∈ A => False
k ∈ B=> True
Q∈B = >False
Step-by-step explanation:
Given
A is the set of integers greater than - 7 and less than - 3
B={c, h, j, k, v, y}
For set A:
The integers greater than -7 will be -6,-5 ....
As the set has integers less than -3, the set will be:
[tex]A = \{-6,-5,-4\}[/tex]
Cardinalities:
Cardinality is the number of elements in the set.
So,
[tex]n(A) = 3\\n(B) = 6[/tex]
Now for the statements:
-6 ∈ A True as -6 is a member of set A
-14 ∈ A False as -14 is not a member of A
k ∈ B True
Q∈B False
Hence,
n(A) = 3
n(B) = 6
-6 ∈ A => True
-14 ∈ A => False
k ∈ B=> True
Q∈B = >False
it cost 13.80 for 5 tickets how much would it cost for 3 tickets
Answer:
$8.28
Step-by-step explanation:
So, first we must find the price per ticket so we do
13.80/5 = 2.76
So the $2.76 per ticket
So now all we do to find the price of three tickets we times the price per ticket by 3
2.76 x 3 = $8.28